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Finding the Third Proportional to 26,764.88 and 41,629.50

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Solution

The third proportional to 26,764.88 and 41,629.50 is: 64,749.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,764.88 : 41,629.50 = 41,629.50 : x
  2. Step 2: Convert to fraction form
    26,764.88/41,629.50 = 41,629.50/x
  3. Step 3: Cross multiply
    26,764.88x = 41,629.50 × 41,629.50
  4. Step 4: Simplify right side
    26,764.88x = 1,733,015,270.25
  5. Step 5: Solve for x
    x = 1,733,015,270.25/26,764.88
  6. Step 6: Final answer
    x = 64,749.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.